CN109164794B - Multivariable industrial process Fault Classification based on inclined F value SELM - Google Patents

Multivariable industrial process Fault Classification based on inclined F value SELM Download PDF

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CN109164794B
CN109164794B CN201811401207.4A CN201811401207A CN109164794B CN 109164794 B CN109164794 B CN 109164794B CN 201811401207 A CN201811401207 A CN 201811401207A CN 109164794 B CN109164794 B CN 109164794B
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fault
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CN109164794A (en
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邓晓刚
高凯
曹玉苹
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China University of Petroleum East China
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    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05BCONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B23/00Testing or monitoring of control systems or parts thereof
    • G05B23/02Electric testing or monitoring
    • G05B23/0205Electric testing or monitoring by means of a monitoring system capable of detecting and responding to faults
    • G05B23/0218Electric testing or monitoring by means of a monitoring system capable of detecting and responding to faults characterised by the fault detection method dealing with either existing or incipient faults
    • G05B23/0243Electric testing or monitoring by means of a monitoring system capable of detecting and responding to faults characterised by the fault detection method dealing with either existing or incipient faults model based detection method, e.g. first-principles knowledge model
    • GPHYSICS
    • G05CONTROLLING; REGULATING
    • G05BCONTROL OR REGULATING SYSTEMS IN GENERAL; FUNCTIONAL ELEMENTS OF SUCH SYSTEMS; MONITORING OR TESTING ARRANGEMENTS FOR SUCH SYSTEMS OR ELEMENTS
    • G05B2219/00Program-control systems
    • G05B2219/20Pc systems
    • G05B2219/24Pc safety
    • G05B2219/24065Real time diagnostics

Abstract

The present invention relates to a kind of storehouse extreme learning machine Fault Classifications based on inclined F value SELM, are standardized first to training dataset;Secondly, finding out all fault types for the inclined F value of each variable, it is worth the weight of all variables according to the inclined F of all variables, further trained and test data is weighted;FSELM disaggregated model is constructed using storehouse extreme learning machine modeling method by training dataset;On this basis, test data set is standardized;The quality of the disaggregated model is verified finally by test data set.The present invention can be obviously improved performance of fault diagnosis, improve the accuracy rate of failure modes.

Description

Multivariable industrial process Fault Classification based on inclined F value SELM
Technical field
The invention belongs to industrial process fault diagnosis technology fields, are related to a kind of using based on the study of the inclined F value storehouse limit The method that machine (referred to as: FSELM) classifies to multivariable industrial process failure.
Background technique
The progress of distributed computer control technology has greatly pushed the production-scale expansion of industrial process.For complexity For huge industrial processes, efficient fault diagnosis technology not only facilitates the stability for improving device production, and Also contribute to the personal safety of safeguard work personnel.The core of fault diagnosis technology is accurately to identify failure after failure occurs Type, therefore failure modes technology is of great significance for field engineer's debugging.
Extreme learning machine (Extreme Learning Machine, referred to as: ELM) is by Guang-Bin Huang et al. Successive ignition tune is not necessarily in a kind of single hidden layer feedforward neural network learning algorithm of proposition in 2006, the algorithm training process It is whole, number, the suitable activation primitive of selection of hidden layer neuron need to be only reasonably selected, unique optimal solution can be obtained.Cause It has many advantages, such as that training speed is fast, nicety of grading is high, generalization ability is strong, at present time series forecasting, image procossing, The multiple fields such as failure modes are used widely.To handle amount industrial data complicated and changeable, researcher is further provided Storehouse extreme learning machine (referred to as: SELM), constructs multilayer ELM under storehouse learning framework, to realize to data characteristic information Depth is excavated and is extracted.However, traditional SELM puts on an equal footing all process variables in forming types classifier, assign Identical weight, so that the significant variable information that part facilitates failure modes is covered by entire variable information, to reduce Classifying quality.Therefore, how deterministic process variable difference of importance and assign different weights, become SELM fault grader structure Challenge project in building.
Summary of the invention
The present invention, which does not excavate local significant variable information sufficiently for SELM fault grader, causes classifying quality to reduce Problem provides a kind of multivariable industrial process Fault Classification based on inclined F value SELM.This method being capable of accurate extraction process Facilitate the part significant variable of failure modes in data, reduces influence of the redundant variables to failure modes, improve failure modes Accuracy.
In order to achieve the above object, the present invention provides a kind of multivariable industrial process failures based on inclined F value SELM point Class method, contains following steps:
(1) industrial process normal operating floor data collection X is acquiredoWith C class fault condition data set { X1,X2,…XCMake For training dataset, and use the mean value MX of normal operating floor data collectionoWith standard deviation SXoStandard is carried out to training dataset Change processing, the normal operating floor data collection after being standardizedWith C class fault condition data set
(2) each fault condition data set, the inclined F value F (i, j) of calculating process variable, wherein F (i, j) expression the are directed to I, 1≤i≤C class fault condition data setIn j-th of variable inclined F value;
(3) it sums to the inclined F value that all fault condition data sets obtain, obtains j-th of variable in all fault condition feelings Overall F value Fs (j) partially under shape, and each variable is calculated according to accounting per (j) of the inclined F value of each variable in all variables Importance weight w (j) in fault classification process;
(4) using importance weight w (j) to fault condition data setIt is weighted processing;
(5) FSELM disaggregated model is constructed using storehouse extreme learning machine modeling method, FSELM disaggregated model indicates are as follows: y =f (x, W(1),…,W(P),V(1),…,V(P),B(1),…,B(P)), wherein x indicates input vector, i.e., process sample to be sorted This, y indicates output vector, is that the classification of sample encodes, f () indicates a multilayer ELM storehouse network function, W(k), k=1, 2 ..., P indicates input layer weight parameter, V(k), k=1,2 ..., P indicate linear transformation battle array, B(k), k=1,2 ..., P, Indicate output weight parameter, P indicates the storehouse number of plies;
(6) collecting test data set Xt, and place is standardized using the mean value and variance of normal operating floor data collection Reason, the test data set after being standardized
(7) processing is weighted to test data set using importance weight w (j);
(8) test data set after weighting is inputted into FSELM disaggregated model, is exported according to FSELM disaggregated model and determines event Hinder type.
Further, the mean value MX of normal operating floor data collection is utilizedoWith standard deviation SXoBy formula (1) to normal behaviour Make operating condition data set XoWith C class fault condition data set { X1,X2,…XCBe standardized, the expression formula of formula (1) are as follows:
Normal operating floor data collection XoWith C class fault condition data set { X1,X2,…XCStandardized by above-mentioned formula (1) To get the normal operating floor data collection to after standardizing after processingWith C class fault condition data set
Further, in step (2), for fault condition data setJth variable is calculated by calculation formula (2) Inclined F value F (i, j), calculation formula (2) indicate are as follows:
In formula, v=n0+ni- 2, n0For normal operative employee's condition data setIn number of samples, niFor fault condition data CollectionIn number of samples, m be individual data collection process variable number, Ti 2To consider T when all process variables2Statistics Amount indicates are as follows:
In formula, v=n0+ni- 2, n0For normal operative employee's condition data setIn number of samples, niFor fault condition data CollectionIn number of samples, m be normal operative employee's condition data setWith fault condition data setThe variable of two datasets Number, Ti 2To consider T when all process variables2Statistic indicates are as follows:
In formula,For b0Vector after removing j-th of variable,For biVector after removing j-th of variable;For Si Matrix after removing jth row and jth column.
Further, it in step (3), sums to the inclined F value that all fault data collection obtain, obtains j-th of variable in institute Overall F value Fs (j) partially under faulty situation, overall F value Fs (j) partially are indicated are as follows:
The overall accounting per (j) of the F value Fs (j) in all variables partially of j-th of variable, formula are calculated by formula (6) (6) it indicates are as follows:
Each variable is calculated in fault classification process by formula (7) according to the inclined F value accounting per (j) of each variable Importance weight w (j), formula (7) indicate are as follows:
In formula, m normal operating floor data collectionWith fault condition data setThe variable number of two datasets.
Further, in step (4), using importance weight w (j) by formula (8) to fault condition data setInto Row weighting processing, formula (8) expression are as follows:
In formula,For weighting treated fault condition data set.
Further, in step (5), using storehouse extreme learning machine modeling method construct FSELM disaggregated model the step of Are as follows:
(1) training dataset is constructedAnd corresponding output is worked out according to data category Matrix Y;Hyper parameter P, L, L1 of storehouse extreme learning machine are set, and L, L >=1 indicate implicit layer unit number, L1,1≤L1≤C table Column dimension after showing output weight matrix dimensionality reduction;
(2) random initializtion input layer weight parameter W(k), k=1,2 ..., P, wherein W(1)Matrix, W are tieed up for L × m(2)... W(P)Matrix is tieed up for (L-L1) × m;Initialize hidden layer serial number p=1;
(3) p-th of hidden layer output matrix H is calculated(p)=g (X (W(p))T), wherein g () indicates that sigmoid activates letter Number;
(4) output weight matrix B is calculated(p)=(H(p))*Y, wherein B(p)Matrix is tieed up for L × C,*Indicate MP generalized inverse fortune It calculates;
(5) to output weight matrix B(p)Pivot analysis is carried out, the linear transformation battle array V of L × L1 dimension is obtained(p)
(6)+1 hidden layer matrix H of pth is found out(p+1)=[H(p)V(p) g(X(W(p+1))T)];
(7) p=p+1 is enabled, if p < P, by new hidden layer matrix H(p+1)Instead of H(p), step (4)-(6) are repeated, into one Step calculates B(p+1)、V(p+1);Otherwise reach the storehouse number of plies, FSELM model construction is completed;The FSELM disaggregated model of building indicates Are as follows:
Y=f (x, W(1),…,W(P),V(1),…,V(P),B(1),…,B(P)) (9)
Further, in step (6), the mean value MX of normal operating floor data collection is utilizedoWith standard deviation SXoPass through formula (10) to test data set XtIt is standardized, formula (10) indicates are as follows:
Test data set XtBy after above-mentioned formula (10) standardization to get to standardization after test data set
Further, in step (7), using importance weight w (j) by formula (11) to test data setIt carries out Weighting processing, formula (11) indicate are as follows:
In formula,For weighting treated test data set.
Further, in step (8), by the test data set after weightingFSELM disaggregated model is inputted, according to FSELM Disaggregated model output obtains test data setFault type matrixFault type matrixIt indicates are as follows:
Compared with prior art, the beneficial effects of the present invention are:
Multivariable industrial process Fault Classification provided by the invention based on inclined F value SELM, to the training number of acquisition It is standardized according to collection, finds out all fault types for the inclined F value of each variable, according to the inclined F value of all variables It obtains the weight of all variables, further trained and test data is weighted, storehouse pole is utilized by training dataset It limits learning machine modeling method and constructs FSELM disaggregated model, verify the quality of the disaggregated model by test data set, and according to FSELM disaggregated model classifies to fault type.The present invention excavates the process variable for facilitating failure modes and gives larger Weight facilitates the part significant variable of failure modes in accurate extraction process data, reduces redundant variables to failure modes It influences, the accuracy rate of failure modes can be effectively improved.
Detailed description of the invention
Fig. 1 is the flow chart of the multivariable industrial process Fault Classification of the present invention based on inclined F value SELM;
Fig. 2 is the structure chart of Tennessee-Yi Siman described in the embodiment of the present invention (referred to as: TE) process;
Fig. 3 a is the inclined F value of each variable of failure 1 described in the embodiment of the present invention;
Fig. 3 b is the inclined F value of each variable of failure 2 described in the embodiment of the present invention;
Fig. 3 c is the inclined F value of each variable of failure 3 described in the embodiment of the present invention;
Fig. 3 d is the inclined F value of each variable of failure 4 described in the embodiment of the present invention.
Specific embodiment
In the following, the present invention is specifically described by illustrative embodiment.It should be appreciated, however, that not into one In the case where step narration, element, structure and features in an embodiment can also be advantageously incorporated into other embodiments In.
Referring to Fig. 1, present invention discloses a kind of multivariable industrial process Fault Classifications based on inclined F value SELM, contain There are following steps:
(1) industrial process normal operating floor data collection X is acquiredoWith C class fault condition data set { X1,X2,…XCMake For training dataset, and use the mean value MX of normal operating floor data collectionoWith standard deviation SXoBy formula (1) to training data Collection is standardized, the expression formula of formula (1) are as follows:
Training dataset by after above-mentioned formula (1) standardization to get to standardization after normal operating floor data CollectionWith C class fault condition data set
(2) it is directed to fault condition data setThe inclined F value F (i, j) of jth variable is calculated by calculation formula (2), Middle F (i, j) indicates the i-th class fault condition data setIn j-th of variable inclined F value.Calculation formula (2) indicates are as follows:
In formula, v=n0+ni- 2, n0For normal operative employee's condition data setIn number of samples, niFor fault condition data CollectionIn number of samples, m be individual data collection process variable number, Ti 2To consider T when all process variables2Statistics Amount indicates are as follows:
In formula, v=n0+ni- 2, n0For normal operative employee's condition data setIn number of samples, niFor fault condition data CollectionIn number of samples, m be normal operative employee's condition data setWith fault condition data setThe variable of two datasets Number, Ti 2To consider T when all process variables2Statistic indicates are as follows:
In formula,For b0Vector after removing j-th of variable,For biVector after removing j-th of variable;For Si Matrix after removing jth row and jth column.
If the inclined F value for certain class fault data is bigger, illustrate that contribution when this variable classifies to such failure is got over Greatly;Conversely, the inclined F value for certain class fault data is smaller, the contribution for illustrating that this variable classifies to such failure is smaller.
(3) it sums to the inclined F value that all fault data collection obtain, it is total under all failure situations to obtain j-th of variable The inclined F value Fs (j) of body, overall F value Fs (j) partially are indicated are as follows:
The overall accounting per (j) of the F value Fs (j) in all variables partially of j-th of variable, formula are calculated by formula (6) (6) it indicates are as follows:
Each variable is calculated in fault classification process by formula (7) according to the inclined F value accounting per (j) of each variable Importance weight w (j), formula (7) indicate are as follows:
(4) pass through formula (8) to fault condition data set using importance weight w (j)It is weighted processing, formula (8) it expresses are as follows:
In formula,For weighting treated fault condition data set.
(5) FSELM disaggregated model is constructed using storehouse extreme learning machine modeling method, FSELM disaggregated model indicates are as follows: y =f (x, W(1),…,W(P),V(1),…,V(P),B(1),…,B(P)), wherein x indicates input vector, i.e., process sample to be sorted This, y indicates output vector, is that the classification of sample encodes, f () indicates a multilayer ELM storehouse network function, W(k), k=1, 2 ..., P indicates input layer weight parameter, V(k), k=1,2 ..., P indicate linear transformation battle array, B(k), k=1,2 ..., P, Indicate output weight parameter.Construct the specific steps of FSELM disaggregated model are as follows:
(1) training dataset is constructedAnd corresponding output is worked out according to data category Matrix Y;Hyper parameter P, L, L1 of storehouse extreme learning machine are set, and L, L >=1 indicate implicit layer unit number, L1,1≤L1≤C table Column dimension after showing output weight matrix dimensionality reduction;
(2) random initializtion input layer weight parameter W(k), k=1,2 ..., P, wherein W(1)Matrix, W are tieed up for L × m(2)... W(P)Matrix is tieed up for (L-L1) × m;Initialize hidden layer serial number p=1;
(3) p-th of hidden layer output matrix H is calculated(p)=g (X (W(p))T), wherein g () indicates that sigmoid activates letter Number;
(4) output weight matrix B is calculated(p)=(H(p))*Y, wherein B(p)Matrix is tieed up for L × C,*Indicate MP generalized inverse fortune It calculates;
(5) to output weight matrix B(p)Pivot analysis is carried out, the linear transformation battle array V of L × L1 dimension is obtained(p)
(6)+1 hidden layer matrix H of pth is found out(p+1)=[H(p)V(p) g(X(W(p+1))T)];
(7) p=p+1 is enabled, if p < P, by new hidden layer matrix H(p+1)Instead of H(p), step (4)-(6) are repeated, into one Step calculates B(p+1)、V(p+1);Otherwise reach the storehouse number of plies, FSELM model construction is completed;The FSELM disaggregated model of building indicates Are as follows:
Y=f (x, W(1),…,W(P),V(1),…,V(P),B(1),…,B(P)) (9)
(6) collecting test data set Xt, utilize the mean value MX of normal operating floor data collectionoWith standard deviation SXoPass through public affairs Formula (10) is to test data set XtIt is standardized, formula (10) indicates are as follows:
Test data set XtBy after above-mentioned formula (10) standardization to get to standardization after test data set
(7) pass through formula (11) to test data set using importance weight w (j)It is weighted processing, formula (11) It indicates are as follows:
In formula,For weighting treated test data set.
(8) test data set after weighting is inputted into FSELM disaggregated model, survey is obtained according to the output of FSELM disaggregated model Try data setFault type matrixFault type matrixIt indicates are as follows:
In the above method, step (1) to (five) is the off-line modeling stage, and step (6) to (eight) is the on-line testing stage.
The above-mentioned Fault Classification of the present invention is standardized training dataset;Find out all fault types for The inclined F value of each variable is worth the weight of all variables according to the inclined F of all variables, further to training and test Data are weighted;On this basis, test data set is standardized;It is established by training data and is based on storehouse pole Limit the failure modes model of learning machine.The present invention excavates the process variable for facilitating failure modes and gives greater weight, accurately Facilitate the part significant variable of failure modes in extraction process data, reduces influence of the redundant variables to failure modes, it can Effectively improve the accuracy rate of failure modes.
In order to be illustrated more clearly that the beneficial effect of the above-mentioned Fault Classification of the present invention, below in conjunction with specific embodiment Further explanation is made to the above-mentioned Fault Classification of the present invention.
Embodiment: Tennessee-Yi Siman (hereinafter referred to as: TE) process be by Yisiman Chemical Company, the U.S. Downs and The experiment porch that Vogel is established according to an actual chemical process, is now widely used in access control algorithm and process monitoring The superiority and inferiority of method.Referring to fig. 2, TE process is mainly made of five units, including reactor, product condenser, gas-liquid separator, Recycle compressor and stripper composition.TE process totally 53 variables, including 22 continuous measurands, 19 component variables With 12 performance variables.Wherein 34 variables include 22 continuous measurands and 12 performance variables, as shown in table 1.
Table 1
Variable label Variable description Variable label Variable description
1 A charging (stream 1) 18 Stripper temperature
2 D charging (stream 2) 19 Stripper flow
3 E charging (stream 3) 20 Compressor horsepower
4 A and C charging (stream 4) 21 Reactor cooling water outlet temperature
5 Recirculating mass (stream 8) 22 Separator cooling water outlet temperature
6 Reactor feed speed (stream 6) 23 D inlet amount (stream 2)
7 Reactor pressure 24 E inlet amount (stream 3)
8 Reactor grade 25 A inlet amount (stream 1)
9 Temperature of reactor 26 A and C doses (stream 4)
10 It is vented rate 27 Compressor recycle valve
11 Product separator temperature 28 Blow valve
12 Product separator liquid level 29 Separator pot flow quantity (stream 10)
13 Product separator pressure 30 Stripper liquid product flow (stream 11)
14 Product separator tower bottom flow (stream 10) 31 Stripper water flow valve
15 Stripper grade 32 Reactor cold water flow
16 Stripper pressure 33 Condenser cold water flow
17 Stripper column underflow amount (stream 11) 34 Mixing speed (nothing)
4 class fault datas of TE procedure fault are used in experiment, it is as shown in table 2, accurate for the classification of verifying each method Rate.
Table 2
In this embodiment, mainly the failure 1 of TE process, failure 2, failure 3, failure 4 this 4 class fault type are divided Class, wherein every each 300 samples of class failure in training set, every each 200 samples of class failure in test set.
What Fig. 3 a was indicated is the inclined F value of each variable in failure 1, and that Fig. 3 b is indicated is the inclined F of each variable in failure 2 Value, what Fig. 3 c was indicated is the inclined F value of each variable in failure 3, and what Fig. 3 d was indicated is the inclined F value of each variable in failure 4.According to The accounting of the inclined F value of each variable and the inclined F value of each variable in all variables show that the weight of 15 variables therein is 1, i.e. variable 1,44,50,40,9,17,52,21,38,18,35,41,34,29,10.
It is utilized respectively that extreme learning machine (referred to as: ELM), storehouse extreme learning machine (referred to as: SELM), the present invention is based on inclined F The multivariable industrial process Fault Classification (referred to as: FSELM) of value SELM classifies to the above 4 class TE failure.Failure point The results are shown in Table 3 for class accuracy rate.
Table 3
Failure 1 Failure 2 Failure 3 Failure 4 Average value
ELM 0.6662 0.5858 0.5458 0.9160 0.6785
SELM 0.8598 0.6110 0.5558 0.9432 0.7425
FSELM 0.9925 0.7180 0.6535 0.9655 0.8324
By above-mentioned table 3 it is found that proposed by the present invention can significantly improve classification based on inclined F value SELM Fault Classification Accuracy rate.
Embodiment provided above only with illustrating the present invention for convenience, and it is not intended to limit the protection scope of the present invention, In Technical solution scope of the present invention, person of ordinary skill in the field make various simple deformations and modification, should all include In the above claim.

Claims (9)

1. a kind of multivariable industrial process Fault Classification based on inclined F value SELM, contains following steps:
(1) industrial process normal operating floor data collection X is acquiredoWith C class fault condition data set { X1,X2,…XCAs training Data set, and use the mean value MX of normal operating floor data collectionoWith standard deviation SXoTraining dataset is standardized, Normal operating floor data collection after being standardizedWith C class fault condition data set
(2) it is directed to each fault condition data set, the inclined F value F (i, j) of calculating process variable, wherein F (i, j) indicates i-th, 1 ≤ i≤C class fault condition data setIn j-th of variable inclined F value;
(3) it sums to the inclined F value that all fault condition data sets obtain, obtains j-th of variable under all fault condition situations Overall F value Fs (j) partially, and each variable is calculated former according to accounting per (j) of the inclined F value of each variable in all variables Hinder the importance weight w (j) in assorting process;
(4) using importance weight w (j) to fault condition data setIt is weighted processing;
(5) FSELM disaggregated model is constructed using storehouse extreme learning machine modeling method, FSELM disaggregated model indicates are as follows: y=f (x,W(1),…,W(P),V(1),…,V(P),B(1),…,B(P)), wherein x indicates input vector, i.e., process sample to be sorted, y It indicates output vector, is that the classification of sample encodes, f () indicates a multilayer ELM storehouse network function, W(k), k=1, 2 ..., P indicates input layer weight parameter, V(k), k=1,2 ..., P indicate linear transformation battle array, B(k), k=1,2 ..., P, Indicate output weight parameter, P indicates the storehouse number of plies;
(6) collecting test data set Xt, and be standardized using the mean value and variance of normal operating floor data collection, it obtains Test data set after to standardization
(7) processing is weighted to test data set using importance weight w (j);
(8) test data set after weighting is inputted into FSELM disaggregated model, is exported according to FSELM disaggregated model and determines failure classes Type.
2. the multivariable industrial process Fault Classification as described in claim 1 based on inclined F value SELM, which is characterized in that In step (1), the mean value MX of normal operating floor data collection is utilizedoWith standard deviation SXoBy formula (1) to training dataset into Row standardization, the expression formula of formula (1) are as follows:
Training dataset by after above-mentioned formula (1) standardization to get to standardization after normal operating floor data collection With C class fault condition data set
3. the multivariable industrial process Fault Classification as claimed in claim 2 based on inclined F value SELM, which is characterized in that In step (2), for fault condition data setThe inclined F value F (i, j) of jth variable is calculated by calculation formula (2), is calculated Formula (2) indicates are as follows:
In formula, v=n0+ni- 2, n0For normal operative employee's condition data setIn number of samples, niFor fault condition data set In number of samples, m be individual data collection process variable number, Ti 2To consider T when all process variables2Statistic, table It is shown as:
In formula, b0For the mean vector of normal class data;biIt is the mean vector of the i-th class fault data;SiFor combinatorial matrixCovariance matrix;To reject the T after variable ji 2Value, it may be assumed that
In formula,For b0Vector after removing j-th of variable,For biVector after removing j-th of variable;For SiRemove Matrix after jth row and jth column.
4. the multivariable industrial process Fault Classification as claimed in claim 3 based on inclined F value SELM, which is characterized in that In step (3), sums to the inclined F value that all fault data collection obtain, it is total under all failure situations to obtain j-th of variable The inclined F value Fs (j) of body, overall F value Fs (j) partially are indicated are as follows:
The overall accounting per (j) of the F value Fs (j) in all variables partially of j-th of variable, formula (6) are calculated by formula (6) It indicates are as follows:
It is important in fault classification process by each variable of formula (7) calculating according to the inclined F value accounting per (j) of each variable Property weight w (j), formula (7) indicate are as follows:
5. the multivariable industrial process Fault Classification as claimed in claim 4 based on inclined F value SELM, which is characterized in that In step (4), using importance weight w (j) by formula (8) to fault condition data setIt is weighted processing, formula (8) it expresses are as follows:
In formula,For weighting treated fault condition data set.
6. the multivariable industrial process Fault Classification as claimed in claim 5 based on inclined F value SELM, which is characterized in that In step (5), using storehouse extreme learning machine modeling method construct FSELM disaggregated model the step of are as follows:
(1) training dataset is constructedAnd corresponding output matrix Y is worked out according to data category; Hyper parameter P, L, L1 of storehouse extreme learning machine are set, and L, L >=1 indicate implicit layer unit number, L1,1≤L1≤C expression output Column dimension after weight matrix dimensionality reduction;
(2) random initializtion input layer weight parameter W(k), k=1,2 ..., P, wherein W(1)Matrix, W are tieed up for L × m(2)... W(P)Matrix is tieed up for (L-L1) × m;Initialize hidden layer serial number p=1;
(3) p-th of hidden layer output matrix H is calculated(p)=g (X (W(p))T), wherein g () indicates sigmoid activation primitive;
(4) output weight matrix B is calculated(p)=(H(p))*Y, wherein B(p)Matrix is tieed up for L × C,*Indicate the inverse operation of MP broad sense;
(5) to output weight matrix B(p)Pivot analysis is carried out, the linear transformation battle array V of L × L1 dimension is obtained(p)
(6)+1 hidden layer matrix H of pth is found out(p+1)=[H(p)V(p)g(X(W(p+1))T)];
(7) p=p+1 is enabled, if p < P, by new hidden layer matrix H(p+1)Instead of H(p), repeat step (4)-(6), further to count Calculate B(p+1)、V(p+1);Otherwise reach the storehouse number of plies, FSELM model construction is completed;The FSELM disaggregated model of building indicates are as follows:
Y=f (x, W(1),…,W(P),V(1),…,V(P),B(1),…,B(P)) (9)。
7. the multivariable industrial process Fault Classification as claimed in claim 6 based on inclined F value SELM, which is characterized in that In step (6), the mean value MX of normal operating floor data collection is utilizedoWith standard deviation SXoBy formula (10) to test data set XtIt is standardized, formula (10) indicates are as follows:
Test data set XtBy after above-mentioned formula (10) standardization to get to standardization after test data set
8. the multivariable industrial process Fault Classification as claimed in claim 7 based on inclined F value SELM, which is characterized in that In step (7), using importance weight w (j) by formula (11) to test data setIt is weighted processing, formula (11) It indicates are as follows:
In formula,For weighting treated test data set.
9. the multivariable industrial process Fault Classification as claimed in claim 8 based on inclined F value SELM, which is characterized in that In step (8), by the test data set after weightingFSELM disaggregated model is inputted, is obtained according to the output of FSELM disaggregated model Test data setFault type matrixFault type matrixIt indicates are as follows:
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